Question

If a=3+2√2, b=2+√3, then find the value of a+b​

Answer 1

Step-by-step explanation:

Given, a=3+2√2, b=2+√3

Wanted, a+b

So, a + b = 3+2√2 + 2+√3 = 5 + 2√2 + √3

Answer 2

Answer:

a=(√3+√2)/(√3-√2)……b=(√3-√2)/(√3+√2)

a^2=(3+2+2√6)/(3+2–2√6)

…=(5+2√6)/(5-2√6)……b^2=(5–2√6)/(5+2√6)

a^2+b^2=(5+2√6)/5–2√6)+(5–2√6)/5+2√6)

…………={(5+2√6)^2+(5–2√6)^2}/5^2–4*6

…………..=(25+4*6+20√6+25+4*6–20√6)/25–24

……”……=49+49=98